Necessary conditions for impulsive nonlinear optimal control problems without a priori normality assumptions

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Arutyunov, A (Author) Other; Dykhta, V (Author) Other; Pereira, FL (Author) FEUP

Journal

Title: Journal of Optimization Theory and Applications

Vol. 124

Pages: 55-77

ISSN: 0022-3239

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 18 Citations

ISI Web of Science

Scopus - 26 Citations

Scientific classification

FOS: Engineering and technology > Industrial biotechnology

CORDIS: Technological sciences > Engineering ; Technological sciences

Other information

Authenticus ID: P-000-641

DOI: 10.1007/s10957-004-6465-x

Abstract (EN): First-order and second-order necessary conditions of optimality for an impulsive control problem that remain informative for abnormal control processes are presented and derived. One of the main features of these conditions is that no a priori normality assumptions are required. This feature follows from the fact that these conditions rely on an extremal principle which is proved for an abstract minimization problem with equality constraints, inequality constraints, and constraints given by an inclusion in a convex cone. Two simple examples illustrate the power of the main result.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23